Information on Result #3067773
There is no (42, 198, 183)-net in base 4, because 19 times m-reduction would yield (42, 179, 183)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4179, 183, S4, 137), but
- the (dual) Plotkin bound shows that M ≥ 18 788340 662190 665823 115844 774314 696219 005460 391266 558965 658327 772257 672200 916867 547709 591987 078149 624255 479808 / 23 > 4179 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.